• Communications for Statistical Applications and Methods
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• v.19 no.4
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• pp.629-638
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• 2012

We propose some methods to obtain optimal thresholds and classification functions by using various cutoff criterion based on the bivariate ROC curve that represents bivariate cumulative distribution functions. The false positive rate and false negative rate are calculated with these classification functions for bivariate normal distributions.

• Honam Mathematical Journal
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• v.37 no.2
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• pp.149-185
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• 2015

Let ${\sigma}_s(N)={\sum}_{d{\mid}N}d^s$ denote the sum of sth powers of the positive divisors of N. In this article, we consider the convolution sums of four divisor functions.

• Journal of Family Resource Management and Policy Review
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• v.17 no.1
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• pp.81-102
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• 2013

The purpose of this study was to investigate the work-family reconciliation level of married women in double-income households. Specifically, the study aimed to test the positive spillover effects, asymmetry, and differential functions of work-family reconciliation. The study thus analyzed 1,114 married women in double-income households in the third-year data of the Korean Longitudinal Survey of Women and Families (KLoWF) done by Korean Women's Development Institute (KWDI), with the exception of those who were separated, divorced, or widowed from their husbands. The data were put to descriptive statistics, frequency analysis, and exploratory factor analysis using SPSS 20.0 for Windows. AMOS 20.0 was used to test the hypothesis on positive spillover effects, asymmetry, and differential functions. The analysis results confirm that work-family conflict, family-work conflict, work-family facilitation, and family-work facilitation are different concepts, thus supporting the hypothesis on positive spillover effects. Secondly, the negative effects of family on work were greater than those of work on family, whereas the positive effects of family on work were greater than those of work on family, which finding partially supported the hypothesis on asymmetry among the components of work-family reconciliation. Finally, the married women in double-income households with preschool children experienced more work-family conflict and family-work conflict than those with no preschool children, which result supported the hypothesis on differential functions between the two groups of women. The findings were combined to provide implications for the utilization of family resources, policies for work-family reconciliation, and plans for institutional supports to promote the work-family reconciliation of married women in double-income households.

• Bulletin of the Korean Mathematical Society
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• v.40 no.4
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• pp.553-564
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• 2003

We give sufficient coefficient conditions for starlikeness of a class of complex-valued multivalent meromorphic harmonic and orientation preserving functions in outside of the unit disc. These coefficient conditions are also shown to be necessary if the coefficients of the analytic part of the harmonic functions are positive and the coefficients of the co-analytic part of the harmonic functions are negative. We then determine the extreme points, distortion bounds, convolution and convex combination conditions for these functions.

• Kyungpook Mathematical Journal
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• v.46 no.2
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• pp.285-295
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• 2006

We present a concept of negative definite functions on a commutative normal hypercomplex system $L_1$(Q, $m$) with basis unity. Negative definite functions were studied in [5] and [4] for commutative groups and semigroups respectively. The definition of such functions on Q is a natural generalization of that defined on a commutative hypergroups.

• Anxiety and mood
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• v.9 no.1
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• pp.38-44
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• 2013

Objective : The end-stage renal disease patients who shared fear of death, functional impairment due to hemodialysis are vulnerable to depression, anxiety and other mental problems. It is possible that their psychiatric characteristics and related autonomic nervous functions have some differences depending on their age. We purpose to find the differences of psychiatric characteristics and related autonomic nervous functions between adult and elderly hemodialysis patients. Methods : Our subjects are end-stage renal disease hemodialysis patients composed of 39 adults (<65 years) and 24 seniors (${\geq}65$ years). Outcome measures included the 17-item Hamilton Rating Scale for Depression, The Hamilton Rating Scale for Anxiety, The Apathy Evaluation Scale and Mini-International Neuropsychiatric Interview by clinician. And subjects fulfilled self-report scale, The Positive thinking scale and The Snaith-Hamilton Pleasure Scale. The autonomic nervous functions are measured by heart rate variability. Results : There are no significant differences in demographic factors between two groups. The 17-item Hamilton Rating Scale for Depression, The Hamilton Rating Scale for Anxiety, The Apathy Evaluation Scale, The Snaith-Hamilton Pleasure Scale and autonomic nervous functions are also not different. But only positive thinking scale is higher in adult hemodialysis group than the elderly (F=5.395, p=0.024). Conclusion : This study compared depression, anxiety and autonomic nervous functions between adult and senior hemodialysis patients. There are no significant differences in psychiatric characteristics and autonomic nervous functions between two groups except positive thinking traits. Senior patients endured their chronic disease similar to adult patients did in spite of their old age. This result suggests that elderly's higher positive thinking traits affect their endurances about the negative situations.

• Bulletin of the Korean Mathematical Society
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• v.34 no.1
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• pp.29-34
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• 1997

Let $U = {z \in C : $\mid$z$\mid$ < 1}$ be the open unit disc in the complex plane and let N be the class of all analytic functions p in U with p(0) = 1.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.4
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• pp.497-504
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• 2020

A weight ω on the positive half real line [0, ∞) is a positive continuous function such that ω(s + t) ≤ ω(s)ω(t), for all s, t ∈ [0, ∞), and ω(0) = 1. The weighted convolution Banach algebra L1(ω) is the algebra of all equivalence classes of Lebesgue measurable functions f such that ‖f‖ = ∫0∞|f(t)|ω(t)dt < ∞, under pointwise addition, scalar multiplication of functions, and the convolution product (f ⁎ g)(t) = ∫0t f(t - s)g(s)ds. We give a sufficient condition on a weight function ω(t) in order that L1(ω) has a bounded approximate identity.

• Journal of the Korean Statistical Society
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• v.36 no.3
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• pp.335-347
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• 2007

Two new types of positive biasedness, which are closely related to Type III positive biasedness (Yanagimoto and Sibuya, 1972), are proposed. We call these near Type III positive biasedness. Though no implication between Type II and near Type III biasedness exists, near Type III seems to be less restrictive than Type II biasedness. Constrained maximum likelihood estimates of distribution functions under near Type III positive bisedness are obtained. The likelihood ratio tests of symmetry against new positive biasedness restrictions are proposed. A small simulation study is conducted to compare the performance of the tests.

• Journal of the Korean Mathematical Society
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• v.53 no.6
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• pp.1445-1457
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• 2016

For a positive integer N divisible by 4, let ${\mathcal{O}}^1_N({\mathbb{Q}})$ be the ring of weakly holomorphic modular functions for the congruence subgroup ${\Gamma}^1(N)$ with rational Fourier coefficients. We present explicit generators of the ring ${\mathcal{O}}^1_N({\mathbb{Q}})$ over ${\mathbb{Q}}$ in terms of both Fricke functions and Siegel functions, from which we are able to classify all Fricke families of such level N.